Live analysis

113,490

113,490 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

113,490 (one hundred thirteen thousand four hundred ninety) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 13 × 97. Its proper divisors sum to 207,558, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB52.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113,478 113,479 113,480 113,481 113,482 113,483 113,484 113,485 113,486 113,487 113,488 113,489 113,490 113,491 113,492 113,493 113,494 113,495 113,496 113,497 113,498 113,499 113,500 113,501 113,502

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 94,311
Recamán's sequence: a(53,739) = 113,490
Square (n²): 12,879,980,100
Cube (n³): 1,461,748,941,549,000
Divisor count: 48
σ(n) — sum of divisors: 321,048
φ(n) — Euler's totient: 27,648
Sum of prime factors: 123

Primality

Prime factorization: 2 × 3 ² × 5 × 13 × 97

Nearest primes: 113,489 (−1) · 113,497 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 13 · 15 · 18 · 26 · 30 · 39 · 45 · 65 · 78 · 90 · 97 · 117 · 130 · 194 · 195 · 234 · 291 · 390 · 485 · 582 · 585 · 873 · 970 · 1170 · 1261 · 1455 · 1746 · 2522 · 2910 · 3783 · 4365 · 6305 · 7566 · 8730 · 11349 · 12610 · 18915 · 22698 · 37830 · 56745 (half) · 113490

Aliquot sum (sum of proper divisors): 207,558

Factor pairs (a × b = 113,490)

1 × 113490

2 × 56745

3 × 37830

5 × 22698

6 × 18915

9 × 12610

10 × 11349

13 × 8730

15 × 7566

18 × 6305

26 × 4365

30 × 3783

39 × 2910

45 × 2522

65 × 1746

78 × 1455

90 × 1261

97 × 1170

117 × 970

130 × 873

194 × 585

195 × 582

234 × 485

291 × 390

First multiples

113,490 · 226,980 (double) · 340,470 · 453,960 · 567,450 · 680,940 · 794,430 · 907,920 · 1,021,410 · 1,134,900

Sums & aliquot sequence

As a sum of two squares: 51² + 333² = 81² + 327² = 159² + 297² = 213² + 261²

As consecutive integers: 37,829 + 37,830 + 37,831 28,371 + 28,372 + 28,373 + 28,374 22,696 + 22,697 + 22,698 + 22,699 + 22,700 12,606 + 12,607 + … + 12,614

Aliquot sequence: 113,490 → 207,558 → 277,290 → 529,110 → 846,810 → 1,377,828 → 2,105,106 → 2,105,118 → 2,502,810 → 4,004,730 → 6,407,802 → 7,977,798 → 9,882,522 → 13,409,838 → 19,730,178 → 26,307,450 → 51,812,550 — unresolved within range

Continued fraction of √n

√113,490 = [336; (1, 7, 1, 1, 7, 1, 3, 1, 2, 1, 2, 1, 2, 1, 3, 1, 7, 1, 1, 7, 1, 672)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand four hundred ninety
Ordinal: 113490th
Binary: 11011101101010010
Octal: 335522
Hexadecimal: 0x1BB52
Base64: AbtS
One's complement: 4,294,853,805 (32-bit)
Scientific notation: 1.1349 × 10⁵
As a duration: 113,490 s = 1 day, 7 hours, 31 minutes, 30 seconds

In other bases

ternary (3) 12202200100

quaternary (4) 123231102

quinary (5) 12112430

senary (6) 2233230

septenary (7) 651606

nonary (9) 182610

undecimal (11) 782a3

duodecimal (12) 55816

tridecimal (13) 3c870

tetradecimal (14) 2d506

pentadecimal (15) 23960

As an angle

113,490° = 315 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγυϟʹ
Mayan (base 20): 𝋮·𝋣·𝋮·𝋪
Chinese: 一十一萬三千四百九十
Chinese (financial): 壹拾壹萬參仟肆佰玖拾

In other modern scripts

Eastern Arabic ١١٣٤٩٠ Devanagari ११३४९० Bengali ১১৩৪৯০ Tamil ௧௧௩௪௯௦ Thai ๑๑๓๔๙๐ Tibetan ༡༡༣༤༩༠ Khmer ១១៣៤៩០ Lao ໑໑໓໔໙໐ Burmese ၁၁၃၄၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113490, here are decompositions:

23 + 113467 = 113490
37 + 113453 = 113490
53 + 113437 = 113490
73 + 113417 = 113490
107 + 113383 = 113490
109 + 113381 = 113490
127 + 113363 = 113490
131 + 113359 = 113490

Showing the first eight; more decompositions exist.

Hex color

#01BB52

RGB(1, 187, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.82.

Address: 0.1.187.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.82

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 113,490 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US113,490 on Google Patents ↗ Look up on USPTO ↗